Answer: a. 1759.52 radians/minutes
b. 1407.62 feet/minutes
Step-by-step explanation:
Diameter = 1.6 feet
Radius = Diameter/2= 1.6/2 = 0.8 feet
N = 280 revolution
a. Angular speed(w) = 2πN
= 2π × 280
= 560π
= 560 × 3.142
= 1759.52 radians/minutes
Speed of cyclist = wr
= 1759.52 × 0.8
= 1407.62 feet/minutes
Answer:
x = - infinity to 99
Step-by-step explanation:
The values of x must less than 100.
Answer:
The grade of this sixth and (final) test <u>would be 91</u>.
Step-by-step explanation:
This is an arithmetic series since each time the data is increasing by the common difference of 4, and we already know a₁ which is the first term in the sequence is 71, therefore we can say:
a₁ = 71
r = 4
a₆ = the sixth term that needs to be found out
n = 6
Formula of an arithemetic series:
aₙ = a₁ + r(n - 1)
a₆ = 71 + 4(6 - 1)
a₆ = 71 + 4(5)
a₆ = 71 + 20
a₆ = 91
Hence, the grade of this sixth and (final) test would be 91.
Hope this helps!
Answer:
Area = 657 ft^2
Step-by-step explanation:
Heron's Formula: ,
Area =
= 657.267069
Area = 657 ft^2
Answer:
x=14
y=30
Step-by-step explanation:
5x+25=3x+53
5x=3x+28
2x=28
x=14
2y+35=95
2y=60
y=30
(I assumed all of the angles are equal, correct me if I'm wrong.)